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Finding the Fourth Proportional to 419,115.96, 628,680.46 and 233,308.44

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Solution

The fourth proportional to 419,115.96, 628,680.46 and 233,308.44 is: 349,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,115.96 : 628,680.46 = 233,308.44 : x
  2. Step 2: Convert to fraction form
    419,115.96/628,680.46 = 233,308.44/x
  3. Step 3: Cross multiply
    419,115.96x = 628,680.46 × 233,308.44
  4. Step 4: Simplify right side
    419,115.96x = 146,676,457,381.08
  5. Step 5: Solve for x
    x = 146,676,457,381.08/419,115.96
  6. Step 6: Final answer
    x = 349,966.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.